The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately \( 3.14159 \).
Given:
- Height (\( h \)) = 12.4
- Radius (\( r \)) = 6.2
Now, substituting the values into the formula:
\[ V = \pi (6.2)^2 (12.4) \]
First, calculate \( (6.2)^2 \):
\[ (6.2)^2 = 38.44 \]
Now, substitute this back into the volume formula:
\[ V = \pi \times 38.44 \times 12.4 \]
Next, multiply \( 38.44 \) by \( 12.4 \):
\[ 38.44 \times 12.4 = 476.256 \]
Now, use the value of \( \pi \):
\[ V \approx 3.14159 \times 476.256 \approx 1499.134 \]
Thus, the volume of the cylinder is approximately:
\[ V \approx 1499.13 , \text{cubic units} \]
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